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Finding the Fourth Proportional to 520.02, 780.71 and 477.02

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Solution

The fourth proportional to 520.02, 780.71 and 477.02 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 780.71 = 477.02 : x
  2. Step 2: Convert to fraction form
    520.02/780.71 = 477.02/x
  3. Step 3: Cross multiply
    520.02x = 780.71 × 477.02
  4. Step 4: Simplify right side
    520.02x = 372,413.85
  5. Step 5: Solve for x
    x = 372,413.85/520.02
  6. Step 6: Final answer
    x = 716.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.